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Finding the Fourth Proportional to 649.44, 896.08 and 369.60

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Solution

The fourth proportional to 649.44, 896.08 and 369.60 is: 509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 896.08 = 369.60 : x
  2. Step 2: Convert to fraction form
    649.44/896.08 = 369.60/x
  3. Step 3: Cross multiply
    649.44x = 896.08 × 369.60
  4. Step 4: Simplify right side
    649.44x = 331,191.17
  5. Step 5: Solve for x
    x = 331,191.17/649.44
  6. Step 6: Final answer
    x = 509.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.